| Base | Representation |
|---|---|
| bin | 10101101011011110100011… |
| … | …11000111101001000000000 |
| 3 | 20020210112021122220020111000 |
| 4 | 22311233101320331020000 |
| 5 | 22222040022011340010 |
| 6 | 245220501340052000 |
| 7 | 13020200246465250 |
| oct | 1265572170751000 |
| 9 | 206715248806430 |
| 10 | 47673363386880 |
| 11 | 14210183876360 |
| 12 | 541b500b34000 |
| 13 | 207a76aa4198a |
| 14 | bab590167960 |
| 15 | 57a160cbd7c0 |
| hex | 2b5bd1e3d200 |
47673363386880 has 2560 divisors, whose sum is σ = 215160183152640. Its totient is φ = 9718824960000.
The previous prime is 47673363386861. The next prime is 47673363386897. The reversal of 47673363386880 is 8868336337674.
47673363386880 is a `hidden beast` number, since 4 + 76 + 73 + 36 + 3 + 386 + 8 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (2560).
It is a super-2 number, since 2×476733633868802 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 47673363386799 and 47673363386808.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70418557102 + ... + 70418557778.
It is an arithmetic number, because the mean of its divisors is an integer number (84046946544).
Almost surely, 247673363386880 is an apocalyptic number.
47673363386880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47673363386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107580091576320).
47673363386880 is an abundant number, since it is smaller than the sum of its proper divisors (167486819765760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47673363386880 is a wasteful number, since it uses less digits than its factorization.
47673363386880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 959 (or 937 counting only the distinct ones).
The product of its (nonzero) digits is 1755758592, while the sum is 72.
The spelling of 47673363386880 in words is "forty-seven trillion, six hundred seventy-three billion, three hundred sixty-three million, three hundred eighty-six thousand, eight hundred eighty".
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